SOLUTION: Write in simplified form the square root of 5/the square root of 2b

Question 72254This question is from textbook Elementary Algebra
: Write in simplified form
the square root of 5/the square root of 2b This question is from textbook Elementary Algebra

Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
The problem is to simplify:
.
divided by
.
Let's first show the division of these two terms:
.

.
But it is normally considered bad form to leave a radical in the denominator. Therefore,
let's multiply this entire expression by .
.
You may notice that this multiplier equals 1 because the numerator and denominator are identical.
So by multiplying this times the original problem we are just multiplying the problem
by an expression that equals 1.
.
This gives us:
.

.
which combines to:
.

.
The product in the denominator is and it equals .
So the expression becomes:
.

.
But by the rules of radical operations the product of the two terms in the numerator
can be combined under a single radical sign to give:
.

.
and finally multiply the two terms inside the radical sign to get:
.

.
This is an acceptable answer, but if you prefer, you can also write it as:
.

.
Hope this helps you to understand the processes involved in messing around with radicals.

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